Converting 3.835 to a Fraction
Step-by-step explanation of how to convert 3.835 to a fraction
Result
3.835 =
767
200
Mixed number:
3
167
200
Step 1: Identify the number of decimal places
The decimal 3.835 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
3.835 × 1000 = 3835
Step 3: Write as a fraction
3.835 =
3835
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3835 and 1000.
GCD(3835, 1000) = 5
Divide both the numerator and denominator by the GCD:
3835
1000
=
3835 ÷ 5
1000 ÷ 5
=
767
200
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